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Finding the Fourth Proportional to 4,487.50, 6,731.52 and 1,409.50

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Solution

The fourth proportional to 4,487.50, 6,731.52 and 1,409.50 is: 2,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.50 : 6,731.52 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    4,487.50/6,731.52 = 1,409.50/x
  3. Step 3: Cross multiply
    4,487.50x = 6,731.52 × 1,409.50
  4. Step 4: Simplify right side
    4,487.50x = 9,488,077.44
  5. Step 5: Solve for x
    x = 9,488,077.44/4,487.50
  6. Step 6: Final answer
    x = 2,114.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.